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Extensions of models of PV

Published online by Cambridge University Press:  24 March 2017

J. Krajíćek
Affiliation:
Mathematical Institute and Institute of Computer Science
Johann A. Makowsky
Affiliation:
Technion - Israel Institute of Technology, Haifa
Elena V. Ravve
Affiliation:
Technion - Israel Institute of Technology, Haifa
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Logic Colloquium '95 , pp. 104 - 114
Publisher: Cambridge University Press
Print publication year: 2017

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References

Buss, S. R. (1986) Bounded Arithmetic. Naples, Bibliopolis.
Buss, S. R. (1995) Relating the bounded arithmetic and polynomial time hierarchies, Annals of Pure and Applied Logic, 75: 67–77.Google Scholar
Cook, S A. (1975) Feasibly constructive proofs and the prepositional calculus, in: Proc. 7th Annual ACM Symp. on Theory of Computing, pp. 83–97. ACM Press.
Krajíček, J. (1995) Bounded arithmetic, propositional logic and complexity theory, Encyclopedia of Mathematics and Its Applications, Vol. 60, Cambridge University Press, Cambridge - New York - Melbourne, 343 p.
Krajíček, J. (1995) On Frege and Extended Frege proof systems, in: Feasible Mathemaics II, eds. Clote, P. and Remmel, J. Birkhauser, pp. 284–319.
Krajíček, J. (1995) On methods for proving lower bounds in propositional logic, in: Proceedings of the Tenth International Congress Logic, Methodology and Philosophy of Science, International Union of History and Philosophy of Science, Florence (August 19–25, 1995), Eds. Dalla, M. L. Chiara, K. Doets, Mundici, D. van Benthem, J. to appear.
Krajíček, J and Pudlák, P. (1990) Propositional Provability and Models of Weak Arithmetic, in: Computer Science Logic (Kaiserlautern, Oct. –89), Borger, E. Kleine Buning, H. Richter, M.M. (eds.), LNCS 440, Springer-Verlag, pp. 193–210.
Krajíček, J, Pudlák, P, and Takeuti, G. (1991) Bounded arithmetic and the polynomial hierarchy, Annals of Pure and Applied Logic, 52: 143–153.Google Scholar
Zambella, D. (1996) Notes on polynomially bounded arithmetic, J. of Symbolic Logic, 61(3), pp. 942–966.Google Scholar

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  • Extensions of models of PV
    • By J. Krajíćek, Mathematical Institute and Institute of Computer Science
  • Edited by Johann A. Makowsky, Technion - Israel Institute of Technology, Haifa, Elena V. Ravve, Technion - Israel Institute of Technology, Haifa
  • Book: Logic Colloquium '95
  • Online publication: 24 March 2017
  • Chapter DOI: https://doi.org/10.1017/9781316716830.011
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  • Extensions of models of PV
    • By J. Krajíćek, Mathematical Institute and Institute of Computer Science
  • Edited by Johann A. Makowsky, Technion - Israel Institute of Technology, Haifa, Elena V. Ravve, Technion - Israel Institute of Technology, Haifa
  • Book: Logic Colloquium '95
  • Online publication: 24 March 2017
  • Chapter DOI: https://doi.org/10.1017/9781316716830.011
Available formats
×

Save book to Google Drive

To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to Google Drive.

  • Extensions of models of PV
    • By J. Krajíćek, Mathematical Institute and Institute of Computer Science
  • Edited by Johann A. Makowsky, Technion - Israel Institute of Technology, Haifa, Elena V. Ravve, Technion - Israel Institute of Technology, Haifa
  • Book: Logic Colloquium '95
  • Online publication: 24 March 2017
  • Chapter DOI: https://doi.org/10.1017/9781316716830.011
Available formats
×